On the homotopy equivalence of the spaces of proper and local maps

• Autorzy: Piotr Bartłomiejczyk , Piotr Nowak-Przygodzki
• Języki publikacji: EN

Abstrakty

EN

We prove that for n > 1 the space of proper maps P 0(n, k) and the space of local maps F 0(n, k) are not homotopy equivalent.

Słowa kluczowe

EN

Proper map; Local map; Homotopy equivalence

Kategorie tematyczne

• 54C35: Function spaces
• 55P10: Homotopy equivalences

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 9
• Strony: 1330-1336

Daty

wydano

2014-09-01

online

2014-05-08

Twórcy

autor

Piotr Bartłomiejczyk

• University of Gdańsk

autor

Piotr Nowak-Przygodzki

• Gdansk University of Technology

Bibliografia

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• [2] Bartłomiejczyk P., Geba K., Izydorek M., Otopy classes of equivariant maps, J. Fixed Point Theory Appl., 2010, 7(1), 145–160 http://dx.doi.org/10.1007/s11784-010-0013-0
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• [4] Bartłomiejczyk P., Nowak-Przygodzki P., Proper gradient otopies, Topology Appl., 2012, 159(10–11), 2570–2579 http://dx.doi.org/10.1016/j.topol.2012.04.014
• [5] Bartłomiejczyk P., Nowak-Przygodzki P., The exponential law for partial, local and proper maps and its application to otopy theory, Commun. Contemp. Math. (in press), DOI: 10.1142/S0219199714500059
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• [8] Cohen F.R., Fibration and product decompositions in nonstable homotopy theory, In: Handbook of Algebraic Topology, North-Holland, Amsterdam, 1995, 1175–1208 http://dx.doi.org/10.1016/B978-044481779-2/50025-0
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• [10] Serre J.-P., Homologie singulière des espaces fibrés, Applications, Ann. of Math., 1951, 54(3), 425–505 http://dx.doi.org/10.2307/1969485

Identyfikatory

DOI

10.2478/s11533-014-0410-5